On integrability of infinitesimal actions

DSpace/Manakin Repository

On integrability of infinitesimal actions

Moerdijk, I.; Mrcun, J.

(2007) Utrecht University Repository

(Preprint)

Abstract

We use foliations and connections on principal Lie groupoid bundles
to prove various integrability results for Lie algebroids. In particular,
we show, under quite general assumptions, that the semi-direct product
associated to an infinitesimal action of one integrable Lie algebroid on
another is integrable. This generalizes recent results of Dazord and Nistor. show less